Question

Solve: $1\frac{1}{5}\times [(6\frac{1}{3}-3\frac{2}{5})÷4\frac{2}{4}]$

Answer 1

$1\frac{1}{5}\times [(6\frac{1}{3}-3\frac{2}{3})÷4\frac{2}{4}]$

$\Rightarrow \frac{1\times 5+1}{5}[(\frac{18+1}{3}-\frac{3\times 3+2}{3})÷\frac{4\times 2+1}{2}]$

$\Rightarrow \frac{6}{5}[(\frac{19}{3}-\frac{11}{3})÷\frac{9}{2}]$

$\Rightarrow \frac{6}{5}(\frac{8}{3}÷\frac{9}{2})$

$\Rightarrow \frac{6}{5}\times \frac{8}{3}\times \frac{2}{9}=\frac{32}{45}$.